Title 狩野本 綴術算経 について ( 数学史の研究 ) Author(s) 小川 束 Citation 数理解析研究所講究録 (2004) 1392: 60-68 Issue Date 2004-09 URL http://hdlhandlenet/2433/25859 Right Type Departmental Bulletin Paper Textversion publisher Kyoto University
$\mathrm{v}$ 1392 2004 60-68 60 ( )* $*1$ $\ovalbox{\tt\small REJECT}*2$ \searrow $\mathrm{b}$ $*3$ $*4$ ( ) [1] 1 20526 70 $*5$ $\mathrm{a}\mathrm{c}$ OGAWA Tsukane Yokkaichi University ogawa(qyokkaichi-u jp $*1$ 20526 20523 20582 10 9 10 11 12 $\mathrm{t}12$ 20523 6 39 39 (1782 ) $*2\mathrm{T}20:74$ $*3$ $*4$ $\cdots$ ([21 p 228) $*5$ [1]
61 (1) (2) (3) ( ) ( ) $*6$ $*7$ ( ) 7 7 7 7 $-\check{\gamma}$ \nearrow 7 ( ) 7 7 = 7 7 7 $\cdots$ 7 ( ) $*-$ $\overline{7}^{-}$ 7 7 7 $\cdots$ 7 * 7 7 = $\backslash \grave{\nearrow}$ (4) $*8$ $*9$ (5) $\mathrm{k}\mathrm{s}$ -18027-1 -18027-1\rfloor -18027-1 (6) 7 7 1 $*6$ $*7$ $*8$ $*9$ 5 6T 5T 4
$\underline{\ovalbox{\tt\small REJECT}\backslash \text{ }}$ $\nearrow\backslash$ $\underline{\acute{\mathrm{f}}\mathrm{f}\dot{\backslash \overline{\mathrm{t}}}\text{ }}$ $\underline{\text{ }\mathrm{f}\mathrm{l}^{1}i}$ $ $ $\backslash J$ $J\mathrm{o}$ 82 (7) $\text{ ^{}*10}$ $\nearrow\mathrm{o}$ ( ) $y\mathrm{o}$ ( ) $\nearrow\mathrm{o}$ ( ) ( ) (8) 111 ( ) 7 7 7 7 $\nearrow\mathrm{o}$ 7 7 7 $p$ 7 7 ( ) 7 7 $J\backslash$ 7 7 7 7 7 $\backslash \sqrt[\backslash ]{}$ * 7 \neq 7 7 7 7 J = 7 7 ( ) 7 } $\backslash$ $\backslash$ 7 } 7 $F\text{ }\backslash \sqrt[\backslash ]{}$ 7 7 7 $/\mathrm{s}$ 2 7 1 *12 $\backslash \sqrt[\backslash ( ) ]{}$ 7 $p$ $\backslash \sqrt[\backslash $\nearrow\mathrm{o}$ ]{}$ $ $ $/\triangleright$ $ $ $J\mathrm{s}$ $\mathrm{k}\mathrm{s}$ $\nearrow\backslash$ 7 7 $\sqrt[\backslash ]{}$ ( ) $\sqrt[\backslash ]{}$ $ \mathrm{o}$ = $\mathrm{k}\mathrm{s}$ $/\triangleright$ 7 \nearrow $*10$ 27 T 18 T 18 $*11$ 28 19 T 19 20 $*12$ 29 21
$\mathrm{o}$ 83 (9) 13 ( ) $J\mathrm{o}$ ( $\underline{\text{ ^{}\backslash }\text{ }}$ ) $\underline{\mathbb{r} W\backslash \mathrm{t}}$ $\underline{*^{\backslash }\backslash \text{ }\backslash }$ ( ) = J $*14$ (10) 15 $\rfloor^{*16}$ (11) O (12) 17 $\backslash$ ]{}$ ( ) 7 } $\sqrt[\backslash 7 $\mathit{2}^{(}$ \sqrt[\backslash $\sqrt[\backslash ]{}$ ]{}$ $\backslash 7 OOOOOO $\mathrm{o}$ $\underline{=}--------------$ $/\triangleright$ ( $\backslash \sqrt[\backslash ]{}$ $\backslash \sqrt[\backslash ]{}$ $\mathrm{k}\triangleright$ 7 \text{ }$ $/\triangleright 7 ) ( ) $\nearrow\mathrm{o}$ $\mathrm{t}\backslash$ ]{}$ 7 $\sqrt[\backslash 7 7 $p^{(}$ $\sqrt[\backslash ]{}$ 7 \grave{\nearrow}$ $\backslash $\backslash \grave{j}$ 7 $\mathrm{o}\mathrm{o}\mathrm{o}\mathrm{o}\mathrm{o}\mathrm{o}_{--}^{=}$ = - $== $ = O $-arrow$ $\mathrm{o}$ *18 (13) $\check{\tau}$ 7 7 119 $*13$ $*14$ 35 $*15$ 37 $*16$ 41 27 40 28 24 25 $*17$ 29 27 $*18$ T 70 41 $*19$ 28 25
$J\backslash$ 84 * $\mathrm{b}$ * 7 ]{}\backslash$ $\sqrt[\backslash 7 * $ \mathrm{o}$ $\backslash y$ $\text{ }--$ $J\beta\S 7$ $\overline{7^{-}}$ $\taurightarrow$ $p$ f 7 7 7 7 $*20$ (14) 62 63 15 \sqrt[\backslash (15) $\backslash ]{}$ $\nearrow\backslash$ 7 \mp 7 121 (16) 22 (17) 65 14 *23 $*24$ (18) (19) \nearrow \llcorner 125 ( ) $1\mathrm{i}$ $/\triangleright$ $\backslash \sqrt[\backslash + ]{}$ $/\mathrm{o}$ 7 $\taurightarrow$ -7 7 $J\triangleright -$ $\mathrm{t}\backslash$ $\nearrow\mathrm{o}$ $ J$ J $\nearrow\mathrm{o}$ $\backslash J$ $\sqrt[\backslash \nearrow ]{}$ $J\mathrm{o}$ \nearrow $p$ $p$ $p$ + = = = 7 $\mathrm{t}\backslash$ $\nearrow\mathrm{o}$ 7 7 \nearrow = --- ) $\nearrow\backslash$ 7 7 \mp $p$ \supset i $\mathrm{t}\backslash$ $\mathrm{t}\backslash$ $J\backslash$ $C$ 7 7 7 $\nearrow\backslash$ $ \backslash$ $\nearrow\backslash$ 7 $\sqrt[\backslash Z 7 ]{}$ $\sqrt[\backslash ]{}\backslash$ 7 \nearrow $\backslash y$ = 7 7 $J\backslash$ 7 $*20$ 45 33 T 33 $*21$ 47 48 T 35 33 T $*22$ 48 35 36 T $*23$ 53 40 41 37 38 $*24$ $*25$ 45 T 45 39
$\lceil$ 65 \grave{\nearrow}$ $\backslash 7 $7^{\backslash ( ) $\backslash $\mathrm{b}$ }$ y$ $\nearrow\mathrm{o}$ 7 $\overline{7^{-}}$ 7 $p$ $jr$ 7 7 $7\backslash$ + 7 $\mathrm{b}$ $\nearrow\backslash$ $\sqrt[\backslash ]{}$ 7 ( ) 7 7 (20) 2 ([1]) $(12)*26$ (14) (17) ( ) ( ) (7) (8) ( ) (9) $*27$ (13) ( ) $\theta \overline{\mathrm{t}}$ $((18))$ $((19))$ [11 $*26$ $*27$
88 $*28$ $/W\overline{\prime ( ) ( 29 1 2 3 4 5 6 7 8 9 10 $\text{ }11$ \yen $\text{ }12\text{ }$ \mathrm{t}}$ ) ( ) 5 ( ) 6 4 6 ( 6 ) ( $*30$ ) ( 6 ) ( ) ( 3 ) ( 9 ) 31 7 $\backslash \sqrt[\backslash ]{}$ \nearrow $*28244$ T 2 [1] $*29$ 6 5 $*30$ 1 1 2 $*31$ = - \mbox{\boldmath $\tau$}- $\nearrow--\wedge\neq 7$ $=$
87 $\sqrt[\backslash ]{}\backslash$ [1] 3 [11 ( ) ( ) 3 [1] [1] (1) (2) (3) (4) (8) (9) (10) (11) (12) (13) (14) (16) (17) (18) (20) (5) (6) (15) (19) ( ) ( )
88 4 1130 (2000) $\mathrm{p}\mathrm{p}$ [1] 229-244 [2] ( ) 7 (1965)